Mathematics

The Mathematics Department is a forward thinking and innovative department committed to raising standards in teaching and learning.  All colleagues are hard-working, share an enthusiasm for the subject and inspire each other with new ideas and initiatives.

Aims: To enable students to discover the joy and beauty of Mathematics and to be confident in applying Mathematics in the real world.

The Department aims to enhance the teaching and learning of Mathematics and to inspire and develop mathematical curiosity in students. It is believed that to actively involve the students in their learning will help to foster independence of thought and informed planning. Each teacher endeavours to provide a variety of experiences and activities which encourage creativity, enthusiasm and an excitement for Mathematics.

Curriculum and Assessment Maps

Mathematics

Key Learning Constructs to be developed over the academic year Scheme of Learning 

Autumn Term

Scheme of Learning 

Spring Term

Scheme of Learning 

Summer Term

Number – to become fluent in a range of numerical methods.

Algebra – to become fluent in a range of algebra techniques.

Geometry – To become fluent in their knowledge of a range of shape and space topics. 

Probability and Statistics – To become fluent in data and probability.

Can solve problems by applying their mathematics to a variety of routine and non-routine problems, including breaking down problems into a series of simpler steps. 

Part 1

1. Decimals, Bidmas and powers

2. Drawing and Calculating Angles

3. Intro to Probability

4. Fractions 

5. Introduction to Algebra

Part 2

1. Pie Charts

2. Area of a triangle and compound shapes

3. Directed Numbers

4. Expanding Brackets

5. Substitution

6. Coordinates

7. Translation

Part 3

1. Symmetry

2. Averages

3. Rounding, Prime and HCF/LCM

4. Straight Line Graphs

5. Quadrilaterals properties

6. Solving Equations

Part 4

1. Data Collection

2. Percentages

3. Reflection and rotation

4. Travel Graphs and Speed Calculations

5. Sequences

6. Constructions

Part 5

1. Probability and Sample Spaces

2. Area and Perimeter of Circles

3. Solve Harder Equations

4. Fractions applications

5. Area of Other Shapes

6. Ratio

Part 6

1. Pair product investigation

2. Conversion of Units

3. Loci

4. Volume and Surface Area of Cuboids

5. Writing expressions

6. Formulas

Assessment Pieces

Part 1 Test

Part 2 Test

Projects

History of Maths Project

Ice Cream Investigation

Assessment Pieces

Part 3 Test

Part 4 Test

Projects 

Data Collection Investigation

Islamic Art

Assessment Pieces

Part 5 Test

Part 6 Test 

Projects 

Pair product investigation

Outside the taught curriculum Dr Frost Maths website, Maths Support, UKMT Maths Challenge and Puzzles club
Suggested reading Blockhead: The Life of Fibonacci (Age 7+)

Infinity and Me (Age 7+)

On a Beam of Light: A Story of Albert Einstein (Age 7+)

Key Learning Constructs to be developed over the academic year Scheme of Learning 

Autumn Term

Scheme of Learning 

Spring Term

Scheme of Learning 

Summer Term

Number – to become fluent in a range of numerical methods.

Algebra – to become fluent in a range of algebra techniques.

Geometry – To become fluent in their knowledge of a range of shape and space topics. 

Probability and Statistics – To become fluent in data and probability.

Can solve problems by applying their mathematics to a variety of routine and non-routine problems, including breaking down problems into a series of simpler steps. 

Part 1

1. Scale Drawings and Bearings

2. Negative numbers and substitution

3. Sequences

4. Brackets and solving equations

5. Decimals and Fractions

6. Pythagoras

7. Drawing Views

Part 2

1. Volume

2. Perfume investigation

3. Trial and Improvement

4. Transformations and enlargement

5. Stem and leaf

6. Scatter graphs

Part 3

1. Plotting Quadratic graphs

2. Factorising

3. Percentages

4. FOIL

5. Averages for Frequency Tables

6. Frequency polygon

7.Basic congruency

8. Angles in a polygon

Part 4

1. y=mx+c

2. Solving and Graphing Inequalities

3. Compound measures

4. Probability of Two Events

5. Rounding to Significant Figures and estimating

6. Error Bounds

Part 5

1. 9 pins investigation

2. Simultaneous Equations

3. Indices

4. Standard Form

5. Area/Perimeter of shapes involving Circles

6. Change Subject

Part 6

1. Trigonometry

2. Direct and Inverse Proportion

3. Board game investigation

4. Questionnaires

5. Functional Skills

Assessment Pieces

Part 1 Test

Part 2 Test

Projects

Perfume Investigation

Assessment Pieces

Part 3 Test

Part 4 Test

Projects

Pins investigation

Egyptian fractions

Assessment Pieces

Part 5 Test

Part 6 Test 

Projects

Board game investigation

Outside the taught curriculum Dr Frost Maths website, Maths Support, UKMT Maths challenge and Puzzles club
Suggested reading

Aha! Insight & aha! Gotcha by Martin Gardner (Age 11+)

Entertaining Mathematical Puzzles by Martin Gardner (Age 11+)

My Best Mathematical and Logic Puzzles by Martin Gardner (Age 11+)

Key Learning Constructs to be developed over the academic year Scheme of Learning 

Autumn Term

Scheme of Learning 

Spring Term

Scheme of Learning 

Summer Term

Number – to become fluent in a range of numerical methods.

Algebra – to become fluent in a range of algebra techniques.

Geometry – To become fluent in their knowledge of a range of shape and space topics. 

Probability and Statistics – To become fluent in data and probability.

Can solve problems by applying their mathematics to a variety of routine and non-routine problems, including breaking down problems into a series of simpler steps. 

Part 1

1: Number and Problem Solving

2: Expressions

3: Statistics

4: Linear Equations

Part 2

5: Ratio

6: Statistics 2

7: Geometry (Pythagoras)

Part 3

8: Algebra- Function Notation, Rearranging formulas

9: Measures, Constructions and Loci

10: Trigonometry

Part 4

11: Statistics – histograms, box plots and presenting data

12: Planning and Collecting data 

13: Properties of shapes

Part 4

14: Fractions, decimals and percentages

15: Indices, decimals and surds

16: Straight-line Graphs

17: Revision for Year 9 Tests

18: End of Year Activites

Assessment Pieces

Part 1 Test

Part 2 Test

Projects

Rocky Horror Show

Bad Tomatoes

Assessment Pieces

Part 3 Test

Projects

Tubes Investigation

Counting Squares

Assessment Pieces

Year 9 Maths exams -2 papers:

1 Calculator

1 non-calculator

Projects

Large Data Sets Investigation

Outside the taught curriculum Dr Frost Maths website, Maths Support, UKMT Maths challenge and Puzzles club
Suggested reading

Mathematics, Magic and Mystery by Martin Gardner (Age 12+)

The Math Book by Clifford A Pickover (Age 12+)

Why do Buses Come in Threes? by Rob Eastaway and Jeremy Wyndham (Age 13+)

OCR GCSE 9 – 1

Specification J560

https://www.ocr.org.uk/Images/168982-specification-gcse-mathematics-j560.pdf

Scheme of Learning 

Autumn Term

Scheme of Learning 

Spring Term

Scheme of Learning 

Summer Term

A01

Use and apply standard techniques (40%)

A02  

Reason, interpret and communicate mathematics (30%)

A03

Solve problems within mathematics and in other contexts (30%)

Part 1

1. Set Theory

2. Transformations 

3. Inequalities

4. Similarity

5. Congruency

Part 2

1. Simultaneous Equations

2. Vectors 

3. Circle Theorems

4. Scatter diagrams and time Series

Part 3

1. Algebraic Manipulation

2. Perimeter, area, volume and 2-D representation

3. Trial and Improvement

4. Probability 

Part 4

1. Graphs

2. Measures

3. Factorising

End of Year Revision

Part 5

1. Standard form and using a calculator

2. Percentage Change

3. Similarity

Project

Maximum Box Project

Assessment Pieces

Part 1 Test

Part 2 Test

Project

Octagonal Loop Project

Assessment Pieces

Part 3 Test

Project

Diversity in Maths

Assessment Pieces

End of year Exams 

Based on all work from year 9/10

Outside the taught curriculum Dr Frost Maths website, Maths Support, UKMT Maths Challenge and Puzzles club
Suggested reading

The Monty Hall Problem: Beyond Closed Doors by Rob Deaves (Age 14+)

The Liar Paradox and the Towers of Hanoi: 10 Greatest Math Puzzles of All Time by Marcel Danesi (Age 14+)

The Number Mysteries by Marcus du Sautoy (Age 14+)

OCR GCSE 9 – 1

Specification J560

https://www.ocr.org.uk/Images/168982-specification-gcse-mathematics-j560.pdf

Scheme of Learning 

Autumn Term

Scheme of Learning 

Spring Term

Scheme of Learning 

Summer Term

A01

Use and apply standard techniques (40%)

A02  

Reason, interpret and communicate mathematics (30%)

A03

Solve problems within mathematics and in other contexts (30%)

Year 10 Catch up

1. Percentages Change 

2. Similarity

Part 1 

1. Solving Quadratic Equations

2. Further Trigonometry

3.Three-dimensional geometry

4. Algebraic fractions

Part 2

1. Proof

Part 2

2. Trig graphs and Transformation

3. Equations of motion

4. Further Graphs

5. Simultaneous equations

Part 3

1. Proportion and variance 

2. Further Area and Volume

3. Further Probability

Recap  and Revision 

Past Paper Practice

Assessment Pieces

Part 1 Test

Mock Exams

Non Cal Paper and Calculator Paper– based on a selection of 9/10/11 work

Project

Dice Game

Assessment Pieces

Part 2 Test

 

Assessment Pieces

GCSE Exams

Outside the taught curriculum Dr Frost Maths website, Maths Support, UKMT Maths Challenge and Puzzles club
Suggested reading

The Music of the Primes by Marcus Du Sautoy (Age 14+)

Journey Through Genius: The Great Theorems of Mathematics by William Dunham (Age 14+)

The Mathematical Universe: Alphabetical Journey Through the Great Proofs, Problems & Personalities by William Dunham (Age 14+)

AQA

Specification 7357

Scheme of Learning 

Autumn Term

Scheme of Learning 

Spring Term

Scheme of Learning 

Summer Term

A01

Use and apply standard techniques (50%)

A02  

Reason, interpret and communicate mathematics (25%)

A03

Solve problems within mathematics and in other contexts (25%)

Part 1 – Pure 1

1. Problem Solving

2. Surds and Indices

3. Quadratic Equations

4. Polynomials

5. Using Graphs

Part 2 – Pure 2

1. Coordinate Geometry

2. Logs

3. Exponential Models

4. Binomial Expansion

Part 3 – Statistics

1. Working with Data

2. Probability

4. The Binomial Distribution

5. Hypothesis Testing

Part 4 – Pure 4

1. Trigonometric Function

2. Triangle Geometry

3. Differentiation

4. Applications of Differentiation

5. Integration

Part 5 – Mechanics

1. Vectors

2. Kinematics

3. SUVAT

4. Forces and Newton’s Laws

Revision for End of Year Exams

4. Objects in Contact

Review and recap of year 12 

Start Year 13 SOL

Part 1 – Pure

1. Functions

Assessment Pieces

Test – Basic Skills Baseline Test

Test – Part 1

Test – Part 2

Project

Investigative Essay Project

Assessment Pieces

Test – Part 3

Test – Part 4

Assessment Pieces

End of Year 12 Exams

Key vocabulary
Outside the taught curriculum Dr Frost Maths website, MEI Integral resources – individual login, Maths Support, UKMT Maths Challenge and Puzzles club
Suggested reading

Gödel, Escher, Bach: An Eternal Golden Braid by Douglas Hofstadter (Age 16+)

Towards Higher Mathematics: A Companion by Richard Earl (Age 16+)

The Art of the Infinite by Robert and Ellen Kaplan (Age 16+)

AQA

Specification 7357

Scheme of Learning 

Autumn Term

Scheme of Learning 

Spring Term

Scheme of Learning 

Summer Term

A01

Use and apply standard techniques (50%)

A02  

Reason, interpret and communicate mathematics (25%)

A03

Solve problems within mathematics and in other contexts (25%)

Part 1 

1. Functions (done in y12)

2. Further Algebra

3. Differentiation

4. Trigonometry

Part 2 

1. Further Trigonometry

2. Further Differentiation

3. Further Integration

4. Forces and Motion

Part 3

1. Further Applications of Calculus

2. Differential Equations 

3. Probability

4. Statistical Distributions

5. Hypothesis Testing

Part 4

1. Vectors

2. Projectiles

3. Moments and Forces

4. Proof

5. Sequences and Series

6. Numerical Methods

Part 5

Large data Sets

Recap and Revision For Exams

Assessment Pieces

Part 1 Test

Part 2 Test

Assessment Pieces

MOCK  – Pure, Statistics and Mechanics

Part 4 Test

Assessment Pieces

External Examinations

Key vocabulary
Outside the taught curriculum Dr Frost Maths website, MEI Integral resources – individual login, Maths Support, UKMT Maths Challenge and Puzzles club
Suggested reading

Algorithmic Puzzles by Anany & Maria Levitin (Age 16+)

The Great Mathematical Problems by Ian Stewart (Age 17+)

How to Think Like a Mathematician by Kevin Houston (Age 17+)

Further Maths

MEI Further Mathematics (B) 

Specification H645

Scheme of Learning 

Autumn Term

Scheme of Learning 

Spring Term

Scheme of Learning 

Summer Term

Core Pure (50%) + Statistics Major (33.3%), Modelling with Algorithms Minor (1623%)

A01

Use and apply standard techniques (50% in all papers)

A02  

Reason, interpret and communicate mathematics (30% in Core Pure, 15% in Mechanics, 20% in Statistics and Modelling)

A03

Solve problems within mathematics and in other contexts (20% in Core Pure, 30% in Statistics and Modelling)

Pure 

1.Roots of Polynomial

2.Matrices

3.Complex Numbers

Modelling with Algorithms

1. Algorithms

2. Networks

3. Critical Path Analysis 

4. Linear Programming

Pure 

3. Complex Numbers

4. Series and Induction

5. Matrices and Inverses

Modelling with Algorithms

4. Linear Programming

5. Simplex 

6. Use of Technology

Statistics a

1. Discrete random variables

2. Probability Distributions

3. Bivariate Data

Pure 

5. Matrices and Inverses

6. Vectors

Statistics a

3. Bivariate Data

4. Chi squared 

Recap and Revision for End of Year 12 Exams

Start year 13 SOL

Pure

1.Vectors

2.Matrices

3.Integration Standard Results

Assessment Pieces

Pure Test 1 – Parts 1 and 2

Algorithms Test 1 – Parts 1 + 2 

Assessment Pieces

Pure Test 2 – Parts 3 and 4

Algorithms Test 2 – full paper

Assessment Pieces

End of Year 12 Exams – Pure and Statistics

Outside the taught curriculum Dr Frost Maths website, MEI Integral resources – individual login, Maths Support, UKMT Maths Challenge and Puzzles club
Suggested reading

Gödel, Escher, Bach: An Eternal Golden Braid by Douglas Hofstadter (Age 16+)

Towards Higher Mathematics: A Companion by Richard Earl (Age 16+)

The Art of the Infinite by Robert and Ellen Kaplan (Age 16+)

MEI Further Mathematics (B) 

Specification H645

Scheme of Learning 

Autumn Term

Scheme of Learning 

Spring Term

Scheme of Learning 

Summer Term

Core Pure (50%) + Statistics Major (33.33%), Modelling with Algorithms Minor (16.67%)

A01

Use and apply standard techniques (50% in all papers)

A02  

Reason, interpret and communicate mathematics (30% in Core Pure, 15% in Mechanics, 20% in Statistics and Modelling)

A03

Solve problems within mathematics and in other contexts (20% in Core Pure, 30% in Statistics and Modelling

Pure 

Recap of parts 1 – 4 done end y12

5. Polar 

6. Complex

7. Maclaurin Series

8. Further Calculus

9. Applications of Integration

Statistics b

1. Continuous Random Variables

2. Expectation Algebra and the Normal Distribution

3. Confidence Intervals

Recap and Revision for Mocks

Pure 

9. Applications of Integration

10. Hyperbolic Functions

11. Differential Equations

Statistics b

4. Hypothesis Testing

5. Simulation

Pure 

12. Vectors

Recap and Revision for Exams

Assessment Pieces

Mock 1 Pure and Stats A 

Assessment Pieces

Mock 2 – Pure and Modelling 

Mock 3 – Pure and Stats B

Assessment Pieces

External Examinations

Outside the taught curriculum Dr Frost Maths website, MEI Integral resources – individual login, Maths Support, UKMT Maths Challenge and Puzzles club
Suggested reading

Algorithmic Puzzles by Anany & Maria Levitin (Age 16+)

The Great Mathematical Problems by Ian Stewart (Age 17+)

How to Think Like a Mathematician by Kevin Houston (Age 17+)

Further information

The Mathematics Department consists of the following staff:

  • Mrs L Osborne (Head of Department)
  • Mrs L Stanley (Second in Department)
  • Mrs J Kendall (Deputy Head)
  • Mrs B Emmrich (Year 11 and 12 Pupil Achievement Leader)
  • Mr P Crockford
  • Mrs S Wolstenholme (acting Second in Department)
  • Ms M Waqar
  • Mrs P Kaur
  • Mr C Twine
  • Miss Whittock
  • Mr S Rehman

The department has eight full time Teachers of Mathematics, one of whom holds responsibility as a Deputy Head. All work together extremely well as a team and are very supportive to the Head of Department. Under the direction of the Head of Department members share responsibility for the progress of girls throughout Key Stage 3, Key Stage 4 and the Sixth Form.  The second in department is responsible for coordinating and overseeing KS3.

KS3

In Year 7 and 8 pupils are taught in five equal ability tutor groups each of 32 girls. The Mathematics Department has written its own comprehensive scheme of work in line with National Guidelines but with a considerable amount of extension material. In addition the girls complete a number of short investigations and problem solving activities to help them improve their functional skills in Mathematics. All the pupils follow the same scheme of work and are tested on a regular basis throughout the year and in addition they have an end of year examination. The year 8 results are used to place the girls in ability sets in Year 9.

From Year 9 onwards the pupils are taught in ability sets with each set covering the same scheme of work. The lower sets have a smaller number of pupils so they are able to receive more individual help where necessary.

In Year 9 the students begin the OCR Specification J560 GCSE course. The scheme of work is based on the content of the Essential Maths Higher GCSE textbook but is supplemented with other material where necessary. All girls take the same tests throughout the year and the same end of year examination. These results are used to adjust the setting for Year 10.

KS4

In Year 10 and Year 11 the girls continue preparation for GCSE.

All girls take the same tests throughout the year and the same end of year examination. These papers will be of the style of the GCSE papers and will contain actual GCSE questions. The results from year 10 are used to adjust the setting for Year 11. It is departmental policy not to make unnecessary changes to the teaching groups at this time, continuity with the same member of staff is considered to be important at this time. However changes in sets will be made if it is deemed to be beneficial to the student.

Students in set 1 and 2 will be extended beyond the GCSE specification using material from the OCR Additional Mathematics Qualification (FSMQ).
Results at GCSE are consistently excellent.

Sixth Form

Mathematics is an extremely popular option in the Sixth Form. Usually there are ninety or more girls who study A Level Mathematics and a further 12 who also study Further Mathematics. We follow the MEI Structured Mathematics Specification H645 for Further Mathematics and AQA Mathematics Specification 7357 for Mathematics A Level. There are five teaching groups who study the single A Level. Those students who choose to study Further Mathematics form a separate teaching group.

Results at both single A Level and Further Mathematics A Level are consistently excellent.

Rooming/Resources.

The Department has six large teaching rooms in the main building and one in the Sixth Form block. All rooms have a computer, ceiling mounted projector and eBeam software so the whiteboard can be used interactively. In addition, the computer network throughout the school allows pupils access to a wide variety of mathematics software. All girls in the Sixth Form who study mathematics are advised to purchase their own graphical calculator for individual use. We use an extensive range of mathematics software on a daily basis for class demonstrations and individual use by students. Staff and students also have unlimited access to these online resources:

DrFrost.co.uk

mei.org.uk (for Sixth Form Mathematicians).

In Mathematics, you can best help by being interested and encouraging your daughter to talk about the work in which she is currently engaged.

Whenever possible, you should encourage your daughter to:

  • Read the teacher comments on written work and act upon them.
  • Review her work frequently.
  • Use the text book to consolidate classroom learning.
  • Follow the advice given in her purple assessment book, assessment sheets clearly highlight specific topics for improvement.
  • Make revision materials at the end of each topic.
  • Speak to her class teacher if further explanations or help is needed.
  • Attend Maths club.
  • Attend support sessions when necessary.
  • Use Dr Frost or MEI (A-level) websites for extra support or to practice techniques.
  • At GCSE and A’ level, work through lots of past papers before the examinations and carefully read the mark schemes and examiner’s report.
  • Make use of the revision materials on Moodle.

The department has enjoyed a great deal of success at GCSE and A Level. Results have been excellent and consistent over many years at all levels and the large number of girls choosing to study mathematics in the Sixth Form has been maintained due to the high success rate at GCSE. Many of the girls have gone on to study Mathematics or Mathematics related courses at university, including Oxford and Cambridge. Mathematics can open the door to some very exciting degree courses and careers…